Reduction theorems for principal and classical connections

DOI10.1007/S10114-010-7333-2zbMath1186.53036OpenAlexW1964614882MaRDI QIDQ2266877

Włodzimierz M. Mikulski, Miroslav Doupovec

Publication date: 26 February 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-7333-2

zbMATH Keywords

reduction theoremprincipal prolongationgauge natural operator

Mathematics Subject Classification ID

Jets in global analysis (58A20) Applications of global differential geometry to the sciences (53C80) Connections (general theory) (53C05) Natural bundles (58A32)

Related Items (5)

Semiholonomic second order connections associated with material bodies ⋮ Principal bundle structure on jet prolongations of frame bundles ⋮ On the gauge version of exponential map ⋮ Natural principal connections on the principal gauge prolongation of a principal bundle ⋮ Unnamed Item

Cites Work

• Reduction theorems for general linear connections.
• Weil modules and gauge bundles
• Holonomic extension of connections and symmetrization of jets
• Higher order Utiyama-like theorem
• Conservation laws and variational sequences in gauge-natural theories
• Invariant Theoretical Interpretation of Interaction
• Gauge-natural bundles and generalized gauge theories
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